Ask & Answer: India's Largest Education Community

Common Noun is one of the nine types of Nouns, which denotes the name of a group or a type of existing phenomenon. Like the name suggests, Common Nouns refer to any living or non-living beings, places, or abstract ideas or thoughts. As long as a word is not named anything specific, it is considered to be a Common Noun.

Velocity of block in equilibrium, in first case,

$v=A\omega =A.\sqrt[]{\frac{k}{M}}$                

Velocity of block in equilibrium, is second case,

$v\text{'}=A\text{'}\omega \text{'}=A\text{'}\sqrt[]{\frac{k}{M+m}}$                  

From conservation of momentum,

Mv = (M + m) v’

$\Rightarrow MA\sqrt[]{\frac{k}{M}}=\left(M+m\right)A\text{'}\sqrt[]{\frac{k}{M+m}}\Rightarrow A\text{'}=A\sqrt[]{\frac{M}{M+m}}$            

Since, $\frac{x^2}{\alpha kT}$  should be dimensionless.

So, dimension of   $\alpha ,\left[\alpha \right]=\frac{L^2}{M{L}^2{T}^{-2}}=M^{-1}{T}^2$

Dimension of  $\alpha {\beta }^2$ should be that of W.

So, $\left[\alpha {\beta }^2\right]=M{L}^2{T}^{-2}$  

$\Rightarrow \left[{\beta }^2\right]=\frac{M{L}^2{T}^{-2}}{M^{-1}{T}^2}=M^2{L}^2{T}^{-4}\Rightarrow \left[\beta \right]=ML{T}^{-2}$            

Both Columbia and Yale, form part of the top 10 universities in USA. Choosing between them, can be tricky, as each has its own strengths, however, here is a detailed comparison between the two, to help make things easier:

From option let it be isosceles where AB = AC then

$x=\sqrt[]{r^2-{\left(h-r\right)}^2}$            

=  $\sqrt[]{r^2-h^2-r^2+2rh}$

$x=\sqrt[]{2hr-h^2}........\left(i\right)$

 Now ar $\left(\Delta ABC\right)=\Delta =\frac{1}{2}BC\times AL$

$\Delta =\frac{1}{2}\times 2\sqrt[]{2hr-a^2}\times h$        

then  $x=\sqrt[]{2\times \frac{3r}{2}\times r-\frac{9r^2}{4}}=\frac{\sqrt[]{3}}{2}rfrom\left(i\right)$

$\Rightarrow BC=\sqrt[]{3}r$    

So $AB=\sqrt[]{h^2+x^2}=\sqrt[]{\frac{9r^2}{4}+\frac{3r^2}{4}}=\sqrt[]{3}r$ .

Hence $\Delta$ be equilateral having each side of length $\sqrt[]{3}r.$

In the Graduate Aptitude Test in Engineering (GATE), Paper 1 is common for all aspirants, comprising general aptitude and engineering mathematics. On the other hand, Paper 2 is subject-specific, allowing candidates to choose a paper from their core engineering discipline. 

Overall, Paper 1 tests broader skills applicable to the engineering fields, while Paper 2 focuses on the candidate's chosen branch. 

$\frac{dq}{dt}=t=20t+8t^2$

$\Rightarrow {\displaystyle \underset{0}{\overset{q}{\int }}dq={\displaystyle \underset{0}{\overset{15}{\int }}\left(20t+8t^2\right)dt}}$

$\Rightarrow q=20\times \frac{15^2}{2}+8.\frac{15^3}{3}=11250C$

Yes, ITM Institute of Hotel Management offers scholarships for the BBA students with exceptional achievements or financial need. Awards include partial fee waivers ranging from INR 10,000 to INR 50,000 under categories like Special Enrollment and Academic Excellence Rewards. These scholarships are granted by the Scholarship Committee and apply only for the first year.

Yes, DPG Institute of Technology and Management offers scholarships to deserving and meritorious students. The institute offers scholarships to BTech, MTech, BBA and BCA programmes. For BTech and MTech, scholarships range from INR 10,000 to INR 30,000 based on academic scores or JEE ranks. For BBA/BCA, scholarships range from INR 10,000 to INR 20,000, awarded as per Class 12 exam scores. 

In the first year of BBA at ITM, students study core hospitality and tourism subjects like Fundamentals of Culinary & Service Operations, Rooms Division Operations, Guest Service Operations, Dining Services Planning, Hospitality Ethics, Indian Tourism Industry, and General Knowledge. They also develop language skills in Spanish, improve English proficiency, and learn about sustainable tourism practices.

Yes, ITM Institute of Hotel Management offers a BBA programme with a specialisation in Hospitality Studies and International Travel and Tourism Management. This three-year undergraduate course is designed for students aiming for a career in hospitality and management. It combines theoretical knowledge and practical training to prepare graduates for diverse opportunities in the global hospitality and management industry.

Given $ta{n}^{-1}a+t{a}^{-1}b=\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$4$}\right.$ ${}^{}{}^{}\raisebox{1ex}{$$}\!\left/ \!\raisebox{-1ex}{$$}\right.$

$ta{n}^{-1}\left(\frac{a+b}{1-ab}\right)=\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$4$}\right.$

$\frac{a+b}{1-ab}=1...........\left(i\right)$

OR a + b = 1 – ab .(ii)

Now, $\left(a+b\right)-\left(\frac{a^2+b^2}{2}\right)+\left(\frac{a^3+b^3}{3}\right)-\left(\frac{a^4+b^4}{4}\right)+........$ $\frac{{}^{}{}^{}}{}\frac{{}^{}{}^{}}{}\frac{{}^{}{}^{}}{}$

$\left(a-\frac{a^2}{2}+\frac{a^3}{3}+\frac{a^3}{3}-\frac{a^4}{4}+......\right)+\left(b-\frac{b^2}{2}+\frac{b^3}{3}-\frac{b^4}{4}+.......\right)$

log (1 + a) + log(1 + b) = log (1 + a) (1 + b) = log {1 + a + b + ab} = log_e2

Admission to the BBA programme at ITM Institute of Hotel Management is primarily merit-based. Students are assessed on their Class 12 academic performance, grooming, general awareness, co-curricular involvement, and personal interview performance. There is no separate entrance examination, making merit and overall skills the key criteria for selection into the programme.

A : Series limit of Lyman series

B : Third line of Balmer series

C : Second line of Paschen series

$A_1+A_2={\displaystyle {\int }_0^{\pi /2}cosxdx}$

$={\left(Sinx\right)}_0^{\pi /2}=1$
$A_1={\displaystyle {\int }_0^{\pi /4}\left(cosx-sinx\right)dx={\left(sinx+cosx\right)}_0^{\pi /4}}$

$=\frac{2}{\sqrt[]{2}}-1=\sqrt[]{2}-1$

$So{A}_2=1-\left(\sqrt[]{2}-1\right)=2-\sqrt[]{2}=\sqrt[]{2}\left(\sqrt[]{2}-1\right)$

$Now\frac{A_1}{A_2}=\frac{1}{\sqrt[]{2}}$             

$K_{2}C{r}_2{O}_7+H_{2}S{O}_4+\underset{GasX}{S{O}_2}\to \underset{\begin{array}{l}Green\\ Y\end{array}}{C{r}_2{\left(S{O}_4\right)}_3}+K_{2}S{O}_4+H_{2}O$